Is there a known record for the most possible stalemates in one in a legal position, for with and without promoted pieces?
I have gotten some results out of my own work.
For without promoted pieces, I've found 95 possible moves, counting different promotions as different moves.
[FEN "kN6/P1PPPPPP/1K6/2R5/8/3B1N2/3B2P1/Q6R w - - 0 1"]
For with promoted pieces, I've found 199 possible moves, at the cost of a couple of immobile units.
[FEN "k1B3R1/NNBQ4/K4Q2/2Q4Q/4Q3/1Q4Q1/3Q4/R4Q2 w - - 0 1"]
If my counts are incorrect, feel free to correct me!
UPDATE: I remembered the position from elsewhere on this site that has the maximum turn movement of 218 moves I switched two pieces, made come count deductions, and I arrived at a number of 205 moves for with promoted pieces.
[FEN "R6B/3Q4/1Q4Q1/4Q3/2Q4Q/Q4Q2/pp1Q4/kBNN1KR1 w - - 0 1"]
I also found a new record of 104 moves for without promoted pieces. I'm not so sure that this can possibly be improved upon.
EDIT: Now it's possible to have 105 with a slight modification of moving a rook to the b-file, which allows for 13 moves instead of 12.
[FEN "kN6/P1PPPPPP/2P5/4K3/6Q1/2NBB3/1R6/R7 w KQkq - 0 1"]